Mac is idly tossing two dice when
he decides to see how many tosses it
would take to go from 1 to 6 in order.
The rules are to toss the two dice
until one or the other or both show
a 1. Then, toss until a 2 shows.
However, if both a 1 and a 2 show at the
same time, both can be used.
He then
tosses for a 3 and similarly for other
numbers. What is the expected number
of tosses to go from 1 to 6?
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